GATE ME 2018 Set 2 — Question 32
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Fluid Mechanics → Viscous & Pipe Flow → Boundary Layer Theory
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Question
The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length is . When the plate length is increased to twice its original length, the percentage change in laminar boundary layer thickness at the end of the plate (with respect to ) is ________ (correct to two decimal places).
Correct answer
41.3 to 41.5
Solution
For viscous laminar flow over a flat plate, the boundary layer thickness at a distance from the leading edge is given by the Blasius solution:This shows that .
Let be the thickness at length , so .
When the length is increased to , the new thickness is:The percentage change is:
Let be the thickness at length , so .
When the length is increased to , the new thickness is:The percentage change is:
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